Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Calculator

✖Applied Load is a force imposed on an object by a person or another object.ⓘ Applied Load [W_{Applied load}]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation [δl]			+10% -10%
✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section [E]

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Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))
E = 4*W_{Applied load}*L/(pi*δl*(d^2))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

STEP 1: Convert Input(s) to Base Unit

Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Diameter of Shaft: 0.12 Meter --> 0.12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 4*W_{Applied load}*L/(pi*δl*(d^2)) --> 4*150000*3/(pi*0.02*(0.12^2))

Evaluating ... ...

E = 1989436788.64869

STEP 3: Convert Result to Output's Unit

1989436788.64869 Pascal -->1989.43678864869 Megapascal (Check conversion here)

FINAL ANSWER

1989.43678864869 ≈ 1989.437 Megapascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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< Circular Tapering Rod Calculators

Load at End with known Extension of Circular Tapering Rod

LaTeX Go Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2))

Length of Circular Tapering rod

LaTeX Go Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2))

Elongation of Circular Tapering Rod

LaTeX Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)

Elongation of Prismatic Rod

LaTeX Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula

LaTeX Go

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))
E = 4*W_{Applied load}*L/(pi*δl*(d^2))

What is Tapering Rod?

A Tapered Rod mounted at one end (base) and subject to a normal force at the other end (tip) is a fundamental structure of continuum mechanics that occurs widely at all size scales from radio towers to fishing rods to micro electromechanical sensors.

What is Modulus of Elasticity?

Elastic modulus, also known as Young's modulus, is a fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress. This property is essential in engineering and materials science, as it determines a material's ability to support loads and maintain its shape

How to Calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section calculator uses Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)) to calculate the Young's Modulus, The Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section is defined as ratio of stress to strain on the rod. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section using this online calculator? To use this online calculator for Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section, enter Applied Load (W_{Applied load}), Length (L), Elongation (δl) & Diameter of Shaft (d) and hit the calculate button. Here is how the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section calculation can be explained with given input values -> 0.001989 = 4*150000*3/(pi*0.02*(0.12^2)).

FAQ

What is Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

The Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section is defined as ratio of stress to strain on the rod and is represented as E = 4*W_{Applied load}*L/(pi*δl*(d^2)) or Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)). Applied Load is a force imposed on an object by a person or another object, Length is the measurement or extent of something from end to end, Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest) & The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

How to calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

The Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section is defined as ratio of stress to strain on the rod is calculated using Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)). To calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section, you need Applied Load (W_{Applied load}), Length (L), Elongation (δl) & Diameter of Shaft (d). With our tool, you need to enter the respective value for Applied Load, Length, Elongation & Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Young's Modulus?

In this formula, Young's Modulus uses Applied Load, Length, Elongation & Diameter of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)

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